X^2-5x+50=1024

Solution for X^2-5x+50=1024 equation:

X^2-5X+50=1024

We move all terms to the left:

X^2-5X+50-(1024)=0

We add all the numbers together, and all the variables

X^2-5X-974=0

a = 1; b = -5; c = -974;
Δ = b2-4ac
Δ = -52-4·1·(-974)
Δ = 3921
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-\sqrt{3921}}{2*1}=\frac{5-\sqrt{3921}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{3921}}{2*1}=\frac{5+\sqrt{3921}}{2}
$